The minute hand of a clock is 6 inches long. What distance does its tip move in 16 minutes?

Answer 1

the radian angle for 16 minutes
= (16/60)(2π) = 8π/15 radians

arclength = rØ
= 6(8π/15) = 16π/5 inches or 10.053 inches

or

one circumference = 2π(6) = 12π
so the fraction of rotation = 16/60

distance covered = (16/60)(12π = 16π/5

Answer 2

25.133

Answer 3

20